Several systems or networks display self-organizing behavior that is characterized by a state with the maximum production of entropy. Such systems are complex in that they are open, i.e. they are not thermally isolated and therefore, the system has access to a continuous supply of energy, and dissipative, i.e. they output energy to external energy reservoirs. The nature of entropy production in...

The entropy S is a dimensionless quant i ty since the tempera ture T has dimensions of energy so that it can be measured in energy units. The r a n d o m variable n is the number of particles, and n s denotes its average or mos t probable value. E is the internal energy, p the chemical potential and V the volume. According to (1), the entropy is the thermodynamic potential tha t determines the ...

It is shown that nonlinear interactions between boundary layers on adjacent corner surfaces produce deterministic stream wise spiral structures. The synchronization properties of nonlinear spectral velocity equations of Lorenz form yield clearly defined deterministic spiral structures at several downstream stations. The computational procedure includes Burg’s method to obtain power spectral den...

We obtain an asymptotic expansion for the heat-kernel, and from that the density of the free energy, for a minimally coupled scalar field in a Schwarzschild geometry at finite temperature. This gives us the zero-point energy density as a function of the distance from the massive object generating the gravitational field. The contribution to the zero-point energy due to the curvature is extracte...

This is a study of composition rule and temperature definition for nonextensive systems containing different q subsystems. The physical meaning of the multiplier β associated with the energy expectation in the optimization of Tsallis entropy is investigated for the formalism with normalized expectation given by escort probability. This study is carried out for two possible cases: the case of th...

We calculate the free energy, energy and entropy in the matrix quantum mechanical formulation of 2D string theory in a background strongly perturbed by tachyons with the imaginary Minkowskian momentum ±i/R (“Sine-Liouville” theory). The system shows a thermodynamical behaviour corresponding to the temperature T = 1/(2πR). We show that the microscopically calculated energy of the system satisfie...

Many nonlinear lattice systems exhibit high-amplitude localized structures, or discrete breathers. Such structures emerge in the discrete nonlinear Schrödinger equation when the energy is above a critical threshold. This paper studies the statistical mechanics at the transition and constructs the probability distribution in the regime where breathers emerge. The entropy as a function of the ene...

We calculate the free energy, energy and entropy in the matrix quantum mechanical formulation of 2D string theory in a background strongly perturbed by tachyons with the imaginary Minkowskian momentum ±i/R (“Sine-Liouville” theory). The system shows a thermodynamical behaviour corresponding to the temperature T = 1/(2πR). We show that the microscopically calculated energy of the system satisfie...

Near-critical quantum circuits close to equilibrium are ideal physical systems for asymptotically large-scale quantum computers, because their low energy collective excitations evolve reversibly, effectively isolated from microscopic environmental fluctuations by the renormalization group. Entropy flows in near-critical quantum circuits near equilibrium as a locally conserved quantum current, o...

The changes in excess thermodynamic quantities upon the contact of two solutes immersed in a solvent are analyzed using the radial-symmetric and three-dimensional versions of the integral equation theory. A simple model mimicking a solute in water is employed. The solute-solute interaction energy is not included in the calculations. Under the isochoric condition, the solute contact always leads...